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How many sides has the polygon?
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The sum of the interior angles of regular polygon is 1800. How many sides has the polygon?

A) 16

B) 12

C) 10

D) 8

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peter
Asked by peterrep:1.4K
University of Lagos Nigeria
13 July 2020

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judziy
Judziy answeredrep:1.4K
University of Benin Nigeria
13 July 2020
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The sum of interior angles of a regular polygon is given as:

S = (n - 2)180

where S is the sum of the interior angles and n is the number of sides.

Substitute S = 1800,

1800 = (n - 2)180

Divide both sides by 180

1800/180 = (n - 2)

10 = n - 2

Add 2 to both sides,

n = 10 + 2

n = 12

Ans B

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